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Finding the Third Proportional to 303,969 and 444,228

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Solution

The third proportional to 303,969 and 444,228 is: 649,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,969 : 444,228 = 444,228 : x
  2. Step 2: Convert to fraction form
    303,969/444,228 = 444,228/x
  3. Step 3: Cross multiply
    303,969x = 444,228 × 444,228
  4. Step 4: Simplify right side
    303,969x = 197,338,515,984
  5. Step 5: Solve for x
    x = 197,338,515,984/303,969
  6. Step 6: Final answer
    x = 649,206.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.